The Mathematics of Charged Particles interacting with Electromagnetic Fields

Kim Petersen

The Mathematics of Charged Particles interacting with Electromagnetic Fields

Kim Petersen

Abstract

In this thesis, we study the mathematics used to describe systems of charged quantum mechanical particles coupled with their classical self-generated electromagnetic field. We prove the existence of a unique local in time solution to the many-body Maxwell-Schrödinger initial value problem expressed in Coulomb gauge and we show that the one-body Maxwell-Schrödinger system as well as the related one-body Maxwell-Pauli system both admit travelling wave solutions.

Originalsprog	Engelsk

Forlag	Department of Mathematical Sciences, Faculty of Science, University of Copenhagen
ISBN (Trykt)	978-87-7078-979-0
Status	Udgivet - 2013

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PhD thesis by Kim PetersenAccepteret manuskript, 2,23 MB

https://rex.kb.dk/primo-explore/fulldisplay?docid=KGL01009087000&context=L&vid=NUI&search_scope=KGL&tab=default_tab&lang=da_DK

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Citationsformater

Petersen, K. (2013). The Mathematics of Charged Particles interacting with Electromagnetic Fields. Department of Mathematical Sciences, Faculty of Science, University of Copenhagen. https://rex.kb.dk/primo-explore/fulldisplay?docid=KGL01009087000&context=L&vid=NUI&search_scope=KGL&tab=default_tab&lang=da_DK

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